半平面上Dirichlet级数的增长级

研究了半平面上有限正级Ｄｉｒｉｃｈｌｅｔ级数，证明了几个关于它们的级与下级的定理．     

关于Taylor级数的正规增长性

该文分别对有限级和无穷级Taylor级数的正规增长条件进行了系统的研究，取得了一系列新的结果．     

THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS

In this paper, we investigate the normality relationship between algebroid multifunctions and their coefficient functions. We prove that the normality of a k-valued entire algebroid multifunctions family is equivalent to their coefficient functions in some conditions.Furthermore, we obtain some new normality criteria for algebroid multifunctions families based on these results. We also provide some examples to expound that some restricted conditions of our main results are necessary.     

VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF CERTAIN NON-LINEAR DIFFERENCE EQUATIONS

In this article, we consider the non-linear difference equation(f(z + 1)f(z)-1)(f(z)f(z-1)-1) =P(z, f(z))/Q(z, f(z)),where P(z, f(z)) and Q(z, f(z)) are relatively prime polynomials in f(z) with rational coefficients. For the above equation, the order of growth, the exponents of convergence of zeros and poles of its transcendental meromorphic solution f(z), and the exponents of convergence of poles of difference ?f(z) and divided difference?f(z)/f(z)are estimated. Furthermore, we study the forms of rational solutions of the above equation.     

零级缺项广义Dirichlet级数的增长性

在一定的指数条件下,研究了全平面上零级广义Dirichlet级数的增长性,得到了关于它的系数和指数与增长级之间关系的结论.     

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE

In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterexample to the converse of the Bloch principle based on the theorems.     

Laplace-Stieltjes 变换所定义的无限级整函数的增长性

该文系统地研究了在全平面上收敛的无限级Laplace-Stieltjes变换的增长性,得到了两个充要条件,推广了全平面上Dirichlet级数的有关结果.     

代数体函数与其系数函数的增长级关系

应用代数体函数的Nevanlinna特征与Valiron特征,系统地研究了由v 1个整函数{Aj(z)}vj=0为系数所决定的代数体函数的级与Aj(z)(0≤j≤v)的级之间的关系;进而可以方便地求出代数体函数的级.     

On the C. Chang type inequality of algebroid functions

In this paper,we investigate the growth relations between algebroid functions and their derivatives,and extend famous C.Chang inequality(see[1,4])of meromorphic functions to algebroid functions.